Package: weyl 0.0-8

weyl: The Weyl Algebra

A suite of routines for Weyl algebras. Notation follows Coutinho (1995, ISBN 0-521-55119-6, "A Primer of Algebraic D-Modules"). Uses 'disordR' discipline (Hankin 2022 <doi:10.48550/arXiv.2210.03856>). To cite the package in publications, use Hankin 2022 <doi:10.48550/arXiv.2212.09230>.

Authors:Robin K. S. Hankin [aut, cre]

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manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
weyl/json (API)

# Install 'weyl' in R:

install.packages('weyl', repos = c('https://robinhankin.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/robinhankin/weyl/issues

Pkgdown/docs site:https://robinhankin.github.io

Datasets:

. - Class "dot"
d - Generating elements for the first Weyl algebra
x - Generating elements for the first Weyl algebra

On CRAN:

5.15 score 2 stars 4 scripts 207 downloads 43 exports 23 dependencies

Last updated from:095d7c78cd. Checks:9 OK. Indexed: yes.

Target	Result	Time
linux-devel-x86_64	OK	198
source / vignettes	OK	230
linux-release-x86_64	OK	258
macos-release-arm64	OK	119
macos-oldrel-arm64	OK	116
windows-devel	OK	174
windows-release	OK	124
windows-oldrel	OK	147
wasm-release	OK	135

Exports:as.der as.id as.id.weyl as.weyl coeffs coeffs<-coeffs<-.weyl constant constant.weyl constant<-constant<-.weyl deg dim.weyl drop grade grade<-grades horner idweyl is.id is.ok.weyl is.weyl is.zero ooom Ops.weyl print.weyl rweyl rweyl1 rweyll rweylll sort spray weyl weyl_power_scalar weyl_prod_helper1 weyl_prod_helper2 weyl_prod_helper3 weyl_prod_multivariate_nrow_allcolumns weyl_prod_multivariate_onerow_allcolumns weyl_prod_multivariate_onerow_singlecolumn weyl_prod_univariate_nrow weyl_prod_univariate_onerow zero

Dependencies:abind cli digest disordR freealg glue gmp lattice lifecycle magic magrittr Matrix partitions polynom rbibutils Rcpp Rdpack rlang sets spray stringi stringr vctrs

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Citation

Development and contributors

Readme and manuals

Help Manual

Help page	Topics
The Weyl Algebra	weyl-package
Manipulate the coefficients of a weyl object	coeff coeffs coeffs,weyl-method coeffs.weyl coeffs<- coeffs<-,weyl-method coeffs<-.weyl index value value,weyl-method value.weyl value<- value<-.weyl values
The constant term	const constant constant.weyl constant<- constant<-.weyl
The degree of a 'weyl' object	deg degree
Derivations	as.der derivation derivations
The dimension of a 'weyl' object	dim dim.weyl dimension
Class "dot"	. commutator dot dot-class dot_error extract jacobi [,dot,ANY,ANY-method [,dot,ANY,missing-method [,dot,matrix,matrix-method [,dot,missing,ANY-method [,dot,missing,missing-method [,dot-method [.dot
Drop redundant information	drop drop,weyl-method
The grade of a weyl object	grade grade<- grades symbol_map
Horner's method	horner
The identity operator	as.id as.id.weyl as.identity as.one.weyl id identity idweyl is.id is.id.weyl is.identity
One over one minus	ooom
Arithmetic Ops Group Methods for the Weyl algebra	Ops Ops.weyl prodfunc weyl_power_scalar weyl_prod weyl_prod_helper1 weyl_prod_helper2 weyl_prod_helper3 weyl_prod_multivariate_nrow_allcolumns weyl_prod_multivariate_onerow_allcolumns weyl_prod_multivariate_onerow_singlecolumn weyl_prod_univariate_nrow weyl_prod_univariate_onerow
Print methods for weyl objects	polyform print print.weyl weylvars
Random weyl objects	rweyl rweyl1 rweyll rweylll
Create spray objects	spray
The algebra and weyl objects	as.weyl is.ok.weyl is.weyl weyl
Class "weyl"	weyl-class
Generating elements for the first Weyl algebra	d x x_and_d
The zero operator	empty is.empty is.zero zero